TY  - BOOK
AU  - Chen,Can
ED  - SpringerLink (Online service)
TI  - Tensor-Based Dynamical Systems: Theory and Applications 
T2  - Synthesis Lectures on Mathematics & Statistics,
SN  - 9783031545054
AV  - TA352-356 
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Dynamics
KW  - Nonlinear theories
KW  - Control engineering
KW  - Algebra
KW  - Algebras, Linear
KW  - Applied Dynamical Systems
KW  - Control and Systems Theory
KW  - Linear Algebra
N1  - Tensors and Tensor Algebra -- Tucker Product Representation -- Einstein Product Representation -- CP/tensor Train Decomposition Representation -- Tensor Vector Product Representation -- Contract Product Representation -- T-product Representation
N2  - This book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems
UR  - https://doi.org/10.1007/978-3-031-54505-4
ER  -